Compact Local Structure-Preserving Algorithms for the Nonlinear Schrödinger Equation with Wave Operator

Langyang Huang, Zhaowei Tian and Yaoxiong Cai

Mathematical Problems in Engineering, 2020, vol. 2020, 1-12

Abstract:

Combining the compact method with the structure-preserving algorithm, we propose a compact local energy-preserving scheme and a compact local momentum-preserving scheme for the nonlinear Schrödinger equation with wave operator (NSEW). The convergence rates of both schemes are . The discrete local conservative properties of the presented schemes are derived theoretically. Numerical experiments are carried out to demonstrate the convergence order and local conservation laws of the developed algorithms.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4345278

DOI: 10.1155/2020/4345278

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